Numbers & Algebra

If g = 10100 and H = 10g, then in which interval does g! = 1 . 2 .3 ........ 10100 lie?

A.	10H < g! < H
B.	H < g! < 10^H
C.	10H < g! < 10
D.	10H < g! <10^H
	Answer : D Explanation : Choose k, so that 10^H = g^λ= 10^100k k = H/100 10^H = g^H/100>g^g > g! On the other hand, 10H = 10 x 10^g= 10^g+1 < g! (most factors are much bigger than 10) 10H < g! < 10^H Write your comments here: Updating your Comments.. Updating your Comments.. Report Error
	Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.

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